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Control of Structural VibrationsLecture #5
Devices and Models (2)
Instructor:
Andrei M. Reinhorn P.Eng. D.Sc.Professor of Structural Engineering
Friction (Hysteretic) Dampers
Models and Implemented Devices
Friction Devices - Pall System
Pall Friction Damper
Pall Friction Damper
Friction Properties
Friction System Constantinou and Reinhorn,1991
Friction System Constantinou and Reinhorn, 1991
Friction Device - Popov
Friction Displacement Curves
Sumitomo Friction Damper
Sumitomo Friction Damper
Tekton Friction Damper
Tekton Friction Device
Friction Models
Friction Models
Sivaselvan-Reinhorn ModelMCEER Report #MCEER-99-0018
uKaKaR H 10Spring 1 : Elastic Spring
Ry*
Ry*
aK0
(1-a)K0
R
aK0u
R*
u
Spring 2 : Hysteretic Spring
2*
1*
*
0 sgn1 uRRRKK
n
yH
Model used in IDARC2DVer.5.0
Friction Model: K0 = Very large, or a = 0, 1 = 2 = 0.5
Friction Connection Brace
Frame with Friction Bolted Connections
Additional Friction Dampers
Additional Friction Dampers
Re-Centering Dampers and Energy Dissipation
Devices Models and Implemented Devices
Other Energy Dissipation Devices
P=P0 sgn x + K x [ 1 + tan a0 sgn (dx/dt) ] ..
P0 = Preload
K1= K (1 + …)K1= K (1 + …)
K2= K (1 - …)
Floor Daniel Energy Disipation Restrain
(EDR)
Re-Centering Devices
Behavior of Recentering Device
Restoring Force in Fluid Dampers
Model of Recentering Device
Re-Centering DevicesJarret Elastomeric Spring Damper(Mander et al., 1997)
Re-Centering Devices
Shape Memory Alloy
Materials which experience re-centering hysteresis
Nickel - Titanium Alloy, etc.
SMA - Stress Strain Response
Shape memory alloys
SMA:
Other Dampers and Energy Dissipation
Devices Special Implementations
Toggle Braces - Consatntinou et al
1998
Toggle Braces - Consatntinou et al
1998
Toggle Braces - Consatntinou et al
1998
Toggle Braces - Consatntinou et al
1998
Alternative Assemblies of Dampers
Comparison of Toggle Dampers
Tuned Mass Dampers
Models and Implemented Devices
